A family of probability measures on the unit ball in R generates a family of generalized Steiner (GS-)points for every convex compact set in R. Such a ”rich” family of probability measures determines a representation of a convex compact set by GS-points. In this way, a representation of a setvalued map with convex compact images is constructed by GS-selections (which are defined by the GS-point...

Collective motions are common in crowd systems and have attracted a great deal of attention in a variety of multidisciplinary fields [2]. Collectiveness, which indicates the degree of individuals acting as a union in collective motion, is a fundamental and universal measurement for various crowd systems. Quantitatively measuring this universal property and comparing it across different crowd sy...